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An answer key supplies the computed results and reasoning cues.",{"@graph":14,"@context":73},[15,34,56],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/mean-median-and-mode-word-problems-a-the-sports-season/359387/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/mean-median-and-mode-word-problems-a-the-sports-season/359387.png","ImageObject",300,407,{"name":42,"@type":43},"Connor ","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-06","2026-09-23",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",9,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"How do you find the mean, median, and mode for each sports data set?","Question",{"text":63,"@type":64},"Mean is the sum divided by the number of values. 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Then answer the follow-up question. Show your work and circle your answer.  \nRemember: Mean = sum ÷ number of values. Median = middle value when ordered (average two middle values if even count) . Mode = most frequent value (write ‘No mode’ if no value repeats) . Use the median when an outlier skews the mean. Use the mean when data is balanced.  \n1. A basketball player scored the following points in 7 games: 14, 18, 22, 18, 25, 18, 31. Find the mean, median, and mode.  \n2. A soccer team recorded goals scored in 8 matches: 0, 1, 3, 2, 1, 4, 1, 4.  \nFind the mean, median, and mode.  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)  \n3. A swimmer recorded lap times (seconds) over 6 sessions: 48, 52, 50, 48, 55, 48. Find the mean, median, and mode.  \n4. A softball team’s home run totals for 9 games: 0, 0, 1, 2, 0, 3, 1, 0, 2. Find the mean, median, and mode.  \n5. A tennis player’s games won in 7 matches: 6, 4, 6, 6, 3, 6, 5. Find the mean, median, and mode.  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)  \n6. A track team’s finishing times (minutes) in 8 races: 4.2, 3.8, 4.5, 3.8, 4.0, 4.2, 3.9, 4.2. Find the mean, median, and mode.  \nChallenge Problem  \n7. Over a full season, a basketball player averaged 18 points per game across 12 games. In 11 of those games he scored: 14, 20, 16, 18, 22, 15, 19, 17, 21, 16, 20.  \na) What did he score in the 12th game?  \nb) Then find the median of all 12 scores.  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)  \nANSWER KEY  \n1.) 1. ) Mean = 20.9 Median = 18 Mode = 18  \nFollow-up: Mode (18)—it appears most often and is not inflated by the high score of 31.  \n2.) 2. ) Mean = 2 Median = 1.5 Mode = 1  \nFollow-up: The mean is 2, but the median (1 .5) and mode (1) suggest most games had fewer. The mean is pulled up by two high-scoring matches.  \n3.) 3. ) Mean = 50.2 Median = 49 Mode = 48  \nFollow-up: Mode (48 sec)—it appears 3 times, showing the most common lap time.  \n4.) 4. ) Mean = 1 Median = 1 Mode = 0  \nFollow-up: The median is 0, meaning in at least half the games the team hit no home runs.  \n5.) 5. ) Mean = 5.1 Median = 6 Mode = 6  \nFollow-up: With 3: mean≈5 .14. Without 3: mean=33÷6=5 .5. The mean increases by about 0.36.  \n6.) 6. ) Mean = 4.1 Median = 4.1 Mode = 4.2  \nFollow-up: Mode (4 .2 min) appears 3 times; mean≈4 .1 min. Either is reasonable since no strong outliers.  \n7.) 7 (Challenge) .  \na) 18 points  \nTotal needed: 18×12=216 . Known sum: 14+20+16+18+22+15+19+17+21+16+20=198 .  \nGame 12: 216−198=18 points. All 12 sorted: [14,15,16,16,17,18,18,19,20,20,21,22] .  \nb ) Median=(18+18)÷2= 18  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)","cbCaig4hC5QkHY22","https://ap.wps.com/l/cbCaig4hC5QkHY22","pdf",665408,"English","# Directions\n## Definitions and strategy\n# Problems\n## Standard problems 1-6\n## Challenge problem 7\n# Answer Key","[{\"question\":\"How do you find the mean, median, and mode for each sports data set?\",\"answer\":\"Mean is the sum divided by the number of values. Median is the middle value after ordering (average the two middle values if there are an even number). Mode is the most frequent value; if none repeat, write “No mode”.\"},{\"question\":\"When should you use the median instead of the mean?\",\"answer\":\"Use the median when an outlier skews the mean, since the median better represents the center of the data.\"},{\"question\":\"How is the missing score in the challenge problem found?\",\"answer\":\"Multiply the season average by 12 to get the total points needed, subtract the sum of the 11 known game scores, and the difference gives the 12th game score.\"}]","Mean, Median, and Mode Word Problems (A) - The Sports Season | PDF",1790136799]